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<a href="#func-members">Functions</a> </div>
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<div class="title">sol3.c File Reference</div> </div>
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</div><!--header-->
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<div class="contents">
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<p><a href="https://projecteuler.net/problem=5">Problem 5</a> solution (Fastest).
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <stdio.h></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for sol3.c:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/d9e/problem__5_2sol3_8c__incl.svg" width="158" height="127"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a59347107cbfdf48d51108e50280e760d"><td class="memItemLeft" align="right" valign="top">unsigned long </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d7c/problem__5_2sol3_8c.html#a59347107cbfdf48d51108e50280e760d">gcd</a> (unsigned long a, unsigned long b)</td></tr>
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<tr class="memdesc:a59347107cbfdf48d51108e50280e760d"><td class="mdescLeft"> </td><td class="mdescRight">Compute <a href="https://en.wikipedia.org/wiki/Greatest_common_divisor">Greatest Common Divisor (GCD)</a> of two numbers using Euclids algorithm. <a href="../../d5/d7c/problem__5_2sol3_8c.html#a59347107cbfdf48d51108e50280e760d">More...</a><br /></td></tr>
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<tr class="separator:a59347107cbfdf48d51108e50280e760d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae9606f1867e9921867d6572f51377b4c"><td class="memItemLeft" align="right" valign="top">unsigned long </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d7c/problem__5_2sol3_8c.html#ae9606f1867e9921867d6572f51377b4c">lcm</a> (unsigned long a, unsigned long b)</td></tr>
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<tr class="memdesc:ae9606f1867e9921867d6572f51377b4c"><td class="mdescLeft"> </td><td class="mdescRight">Compute <a href="https://en.wikipedia.org/wiki/Least_common_multiple">Least Common Multiple (LCM)</a> of two numbers. <a href="../../d5/d7c/problem__5_2sol3_8c.html#ae9606f1867e9921867d6572f51377b4c">More...</a><br /></td></tr>
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<tr class="separator:ae9606f1867e9921867d6572f51377b4c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a840291bc02cba5474a4cb46a9b9566fe"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d7c/problem__5_2sol3_8c.html#a840291bc02cba5474a4cb46a9b9566fe">main</a> (void)</td></tr>
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<tr class="memdesc:a840291bc02cba5474a4cb46a9b9566fe"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../d5/d7c/problem__5_2sol3_8c.html#a840291bc02cba5474a4cb46a9b9566fe">More...</a><br /></td></tr>
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<tr class="separator:a840291bc02cba5474a4cb46a9b9566fe"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://projecteuler.net/problem=5">Problem 5</a> solution (Fastest). </p>
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<p>Solution is the LCM of all numbers between 1 and 20.</p>
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<dl class="section see"><dt>See also</dt><dd>Slowest: <a class="el" href="../../dc/d32/problem__5_2sol1_8c.html" title="Problem 5 solution - Naive algorithm (slowest)">problem_5/sol1.c</a> </dd>
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<dd>
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Slower: <a class="el" href="../../d5/d3d/problem__5_2sol2_8c.html" title="Problem 5 solution - Naive algorithm (Improved over problem_5/sol1.c)">problem_5/sol2.c</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a59347107cbfdf48d51108e50280e760d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a59347107cbfdf48d51108e50280e760d">◆ </a></span>gcd()</h2>
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<div class="memitem">
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<div class="memproto">
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<td class="memname">unsigned long gcd </td>
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<td>(</td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>a</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>b</em> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Compute <a href="https://en.wikipedia.org/wiki/Greatest_common_divisor">Greatest Common Divisor (GCD)</a> of two numbers using Euclids algorithm. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">a</td><td>first number </td></tr>
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<tr><td class="paramname">b</td><td>second number </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>GCD of <code>a</code> and <code>b</code> </dd></dl>
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<div class="fragment"><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> {</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> r;</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keywordflow">if</span> (a > b)</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  {</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> t = a;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  a = b;</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  b = t;</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  }</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">while</span> ((r = (a % b)))</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  a = b;</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  b = r;</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  }</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">return</span> b;</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> }</div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="ae9606f1867e9921867d6572f51377b4c"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae9606f1867e9921867d6572f51377b4c">◆ </a></span>lcm()</h2>
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<div class="memitem">
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<td class="memname">unsigned long lcm </td>
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<td>(</td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>a</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>b</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Compute <a href="https://en.wikipedia.org/wiki/Least_common_multiple">Least Common Multiple (LCM)</a> of two numbers. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">a</td><td>first number </td></tr>
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<tr><td class="paramname">b</td><td>second number </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>LCM of <code>a</code> and <code>b</code> </dd></dl>
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<div class="fragment"><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">long</span> p = (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> long)a * b;</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> p / <a class="code" href="../../d5/d7c/problem__5_2sol3_8c.html#a59347107cbfdf48d51108e50280e760d">gcd</a>(a, b);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d5/d7c/problem__5_2sol3_8c_ae9606f1867e9921867d6572f51377b4c_cgraph.svg" width="144" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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<a id="a840291bc02cba5474a4cb46a9b9566fe"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a840291bc02cba5474a4cb46a9b9566fe">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> {</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ans = 1;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i;</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">for</span> (i = 1; i <= 20; i++)</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  ans = <a class="code" href="../../d5/d7c/problem__5_2sol3_8c.html#ae9606f1867e9921867d6572f51377b4c">lcm</a>(ans, i);</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  printf(<span class="stringliteral">"%lu\n"</span>, ans);</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
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<div class="ttc" id="aproblem__5_2sol3_8c_html_ae9606f1867e9921867d6572f51377b4c"><div class="ttname"><a href="../../d5/d7c/problem__5_2sol3_8c.html#ae9606f1867e9921867d6572f51377b4c">lcm</a></div><div class="ttdeci">unsigned long lcm(unsigned long a, unsigned long b)</div><div class="ttdoc">Compute Least Common Multiple (LCM) of two numbers.</div><div class="ttdef"><b>Definition:</b> sol3.c:41</div></div>
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<div class="ttc" id="aproblem__5_2sol3_8c_html_a59347107cbfdf48d51108e50280e760d"><div class="ttname"><a href="../../d5/d7c/problem__5_2sol3_8c.html#a59347107cbfdf48d51108e50280e760d">gcd</a></div><div class="ttdeci">unsigned long gcd(unsigned long a, unsigned long b)</div><div class="ttdoc">Compute Greatest Common Divisor (GCD) of two numbers using Euclids algorithm.</div><div class="ttdef"><b>Definition:</b> sol3.c:18</div></div>
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