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
# Here your code !

import sys

def gcd(a, b):
	while b:
		a, b = b, a % b
	return a
	
def lcm(a, b):
	return a * b // gcd (a, b)

for line in sys.stdin:
    a, b = map(int, line.split())
    print( str(gcd(a,b))+" "+str(lcm(a,b)) )
    