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 Ruby (judge verdict: Time Limit Exceeded)

x, y = gets.chomp.split.map(&:to_i)

if x < y

   x.downto(1) do |i|

      if (x % i) == 0 && (y % i) == 0
         puts i
         break
      end

   end

elsif x == y

   puts x

elsif x > y

   y.downto(1) do |i|

      if (x % i) == 0 && (y % i) == 0
         puts i
         break
      end

   end

end