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):
    if b == 0: return a
    return gcd(b, a % b)

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

array = []
for i in sys.stdin:
    array.append(i)

for i in range(len(array)):
    n, m = array[i].split()
    n, m = int(n), int(m)
    print(int(gcd(n, m)),int(lcm(n, m)))