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)

def gcd(a, b)
  a, b = b, a if b > a

  while (c = a % b) != 0
    a, b = b, c
  end
  b
end

def lcm(a, b)
  a * b / gcd(a, b)
end

while line = gets
  a, b = line.split.map(&:to_i)
  gcd = gcd(a, b)
  lcm = lcm(a, b)
  puts "#{gcd} #{lcm}"
end