Problem:
Greatest Common Divisor

Write a program which finds the greatest common divisor of two natural numbers a and b

Input

a and b are given in a line sparated by a single space.

Output

Output the greatest common divisor of a and b.

Constrants

1 ≤ a, b ≤ 109

Hint

You can use the following observation:

For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)

Sample Input 1

54 20

Sample Output 1

2

Sample Input 2

147 105

Sample Output 2

21

Solution in C (judge verdict: Time Limit Exceeded)

#include<stdio.h>

int main(){
  int a,b,ans=0,x=0,i;
  scanf("%d %d",&a,&b);
  if(a<b){
    x = b;
  } else x = a;
  
  for(i = 1;i <= x; i++){
    if((a%i==0) && (b%i==0)){
      ans = i;
    }
  }
  printf("%d\n",ans);
  
  return 0;
}