Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in Ruby (judge verdict: Accepted)

while line = gets
  a, b = line.split.map(&:to_i)

  if a >= b
    m, n = a, b
  else
    n, m = a, b
  end

  loop do
    break m if n == 0

    m, n = n, m % n
  end

  gcd = m
  lcm = a * b / gcd

  print "#{gcd} #{lcm}\n"
end