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

for line in sys.stdin:
    a, b = map(int, line.split())
    t1, t2 = a, b
    while True:
        if a%b:
            a, b = b, a%b
        else:
            break
    gcd = b
    lcm = t1/gcd*t2
    print "%d %d" %(gcd, lcm)