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 i, x, y;
  scanf("%d%d",&x,&y);
  
  if(y > x) {
    i = x;
    x = y;
    y = i;
  }
  for(i = y;i > 0;i--) 
    if(x % i ==0 && y % i == 0) break; 

  printf("%d\n",i);

  return 0;
}