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: Accepted)

a, b = gets.split.collect(&:to_i)
while true
  if a == 0
    puts b
    break
  elsif b == 0
    puts a
    break
  elsif a < b
    b = b % a
  elsif a > b
    a = a % b
  else
    puts a
    break
  end
end