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

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

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.

Output

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

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
# -*- coding: utf-8 -*-

while True:
  try:
    ( a, b ) = map ( int, input ( ).split ( ) )
  except EOFError: break
  ( x, y ) = ( a, b )
  while x != 0:
    ( x, y ) = ( y % x, x )
  print ( "%s %s" % ( y, a * b // y ) )