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How to find the greatest common divisor and least common multiple in C language?

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2020-06-22 14:37:4414624browse

How to find the greatest common divisor and least common multiple in C language?

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How to find the greatest common divisor and minimum in C language common multiple?

The method of finding the greatest common divisor and the least common multiple in C language:

Algorithm for finding the greatest common divisor:

There are two integers a and b:

① a%b gets the remainder c

② If c=0, then b is the greatest common divisor of the two numbers

③ If c≠0, then a =b, b=c, then go back and execute ①

For example, the process of finding the greatest common divisor of 27 and 15 is:

27÷15 remainder 1215÷12 remainder 312÷3 remainder 0. Therefore, 3 is the greatest common divisor

 #include<stdio.h>
  int main()   /*  辗转相除法求最大公约数 */ 
 { 
   int m, n, a, b, t, c;
   printf("Input two integer numbers:\n");
    scanf("%d%d", &a, &b);
    m=a;   n=b;
  while(b!=0)  /* 余数不为0,继续相除,直到余数为0 */ 
   { c=a%b; a=b;  b=c;}
   printf("The largest common divisor:%d\n", a);
  printf("The least common multiple:%d\n", m*n/a);
 }

Find the least common multiple:

#include <stdio.h>
int main()
{ 
int a,b,A,B;
int lol,lpl;
printf ("输入两个整数:\n");  
scanf ("%d%d",&a,&b);
A=a;
B=b;
if(B)
while((A %= B) && (B %= A));
lol = A+B;
lpl = a*b/lol;
printf ("最小公倍数为:%d\n", lpl); 
return 0;
}

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