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 -*-
import sys

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

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

for s in sys.stdin:
    a,b = map(int,s.split())
    a,b = max(a,b),min(a,b)
    print gcd(a,b),lcm(a,b)