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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<p><a href="https://projecteuler.net/problem=5" target="_blank">Problem 5</a> solution (Fastest).
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;stdio.h&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for sol3.c:</div>
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Functions</h2></td></tr>
<tr class="memitem:a59347107cbfdf48d51108e50280e760d"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</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>
<tr class="memdesc:a59347107cbfdf48d51108e50280e760d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute <a href="https://en.wikipedia.org/wiki/Greatest_common_divisor" target="_blank">Greatest Common Divisor (GCD)</a> of two numbers using Euclids algorithm. <br /></td></tr>
<tr class="separator:a59347107cbfdf48d51108e50280e760d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae9606f1867e9921867d6572f51377b4c"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</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>
<tr class="memdesc:ae9606f1867e9921867d6572f51377b4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute <a href="https://en.wikipedia.org/wiki/Least_common_multiple" target="_blank">Least Common Multiple (LCM)</a> of two numbers. <br /></td></tr>
<tr class="separator:ae9606f1867e9921867d6572f51377b4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a840291bc02cba5474a4cb46a9b9566fe"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d7c/problem__5_2sol3_8c.html#a840291bc02cba5474a4cb46a9b9566fe">main</a> (void)</td></tr>
<tr class="memdesc:a840291bc02cba5474a4cb46a9b9566fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:a840291bc02cba5474a4cb46a9b9566fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://projecteuler.net/problem=5" target="_blank">Problem 5</a> solution (Fastest). </p>
<p>Solution is the LCM of all numbers between 1 and 20.</p>
<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>
<dd>
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>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a59347107cbfdf48d51108e50280e760d" name="a59347107cbfdf48d51108e50280e760d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a59347107cbfdf48d51108e50280e760d">&#9670;&#160;</a></span>gcd()</h2>
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<div class="memproto">
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<td class="memname">unsigned long gcd </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Compute <a href="https://en.wikipedia.org/wiki/Greatest_common_divisor" target="_blank">Greatest Common Divisor (GCD)</a> of two numbers using Euclids algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>first number </td></tr>
<tr><td class="paramname">b</td><td>second number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>GCD of <code>a</code> and <code>b</code> </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 19</span>{</div>
<div class="line"><span class="lineno"> 20</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> r;</div>
<div class="line"><span class="lineno"> 21</span> <span class="keywordflow">if</span> (a &gt; b)</div>
<div class="line"><span class="lineno"> 22</span> {</div>
<div class="line"><span class="lineno"> 23</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> t = a;</div>
<div class="line"><span class="lineno"> 24</span> a = b;</div>
<div class="line"><span class="lineno"> 25</span> b = t;</div>
<div class="line"><span class="lineno"> 26</span> }</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">while</span> ((r = (a % b)))</div>
<div class="line"><span class="lineno"> 28</span> {</div>
<div class="line"><span class="lineno"> 29</span> a = b;</div>
<div class="line"><span class="lineno"> 30</span> b = r;</div>
<div class="line"><span class="lineno"> 31</span> }</div>
<div class="line"><span class="lineno"> 32</span> <span class="keywordflow">return</span> b;</div>
<div class="line"><span class="lineno"> 33</span>}</div>
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<a id="ae9606f1867e9921867d6572f51377b4c" name="ae9606f1867e9921867d6572f51377b4c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae9606f1867e9921867d6572f51377b4c">&#9670;&#160;</a></span>lcm()</h2>
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<td class="memname">unsigned long lcm </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Compute <a href="https://en.wikipedia.org/wiki/Least_common_multiple" target="_blank">Least Common Multiple (LCM)</a> of two numbers. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>first number </td></tr>
<tr><td class="paramname">b</td><td>second number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>LCM of <code>a</code> and <code>b</code> </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 42</span>{</div>
<div class="line"><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>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> p / <a class="code hl_function" href="../../d5/d7c/problem__5_2sol3_8c.html#a59347107cbfdf48d51108e50280e760d">gcd</a>(a, b);</div>
<div class="line"><span class="lineno"> 45</span>}</div>
<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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<h2 class="memtitle"><span class="permalink"><a href="#a840291bc02cba5474a4cb46a9b9566fe">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 51</span>{</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ans = 1;</div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i;</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">for</span> (i = 1; i &lt;= 20; i++)</div>
<div class="line"><span class="lineno"> 55</span> {</div>
<div class="line"><span class="lineno"> 56</span> ans = <a class="code hl_function" href="../../d5/d7c/problem__5_2sol3_8c.html#ae9606f1867e9921867d6572f51377b4c">lcm</a>(ans, i);</div>
<div class="line"><span class="lineno"> 57</span> }</div>
<div class="line"><span class="lineno"> 58</span> printf(<span class="stringliteral">&quot;%lu\n&quot;</span>, ans);</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 60</span>}</div>
<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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