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
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
def main():
	while True:		
		try:
			a, b = [int(x) for x in input().split(" ")]
		except:
			return
		else:
			print(gcd(a, b),lcm(a, b))
def lcm(a, b):
	return (a * b) // gcd(a,b)
def gcd(a, b):
	while b != 0:
		a, b = b, a % b
	return a	
			
if __name__ == '__main__':
  main()