mirror of https://github.com/TheAlgorithms/C
41 lines
880 B
C
41 lines
880 B
C
// C program to find LCM of two numbers
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/*
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suppose we have two numbers a and b.
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Property: Since product of LCM and GCD of two numbers are equal to product of that number itself.
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i.e, LCM(a,b)*GCD(a,b)=a*b.
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So,here we first find the GCD of two numbers and using above property we find LCM of that two numbers.
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*/
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#include <stdio.h>
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// Recursive function to return gcd of a and b
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int gcd(int a, int b)
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{
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if (a == 0)
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return b;
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return gcd(b % a, a);
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}
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// Function to return LCM of two numbers
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int lcm(int a, int b)
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{
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return (a*b)/gcd(a, b);
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}
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// Driver program
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int main()
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{
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int a,b;
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printf("Enter two numbers to find their LCM \n");
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scanf("%d%d",&a,&b);
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printf("LCM of %d and %d is %d ", a, b, lcm(a, b));
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return 0;
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}
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/*
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Test Case1:
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a=15,b=20
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LCM(a,b)=60
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Test Case2:
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a=12,b=18
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LCM(a,b)=36
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*/
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