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
import math
import sys

while True:
	try:
		a,b = map(int, input().split())
		p = a
		q = b
		while True:
			r = p%q
			if r == 0:
				x = q
				break
			else:
				p = q
				q = r
		i = 1
		while True:
			if a*i%b == 0:
				y = a*i
				break
			else:
				i = i+1
		print(x,y)
	except EOFError:
		break