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
def GCD(a, b):
	if b > a:
		return GCD(b, a)
	elif a % b == 0:
		return b
	return GCD(b, a % b)
		
def LCM(a, b):
	return a * b // GCD(a, b)

import sys
L = sys.stdin.readlines()
for line in L:
	x, y = list(map(int, line.split()))
	print(GCD(x, y), LCM(x, y))