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
# This program computes GCD and LCM
# -*- coding: utf-8
import sys


def gcd(a, b):
    while b != 0:
        a, b = b, a % b
    return a


for i in sys.stdin:
    try:
        line = [int(k) for k in i.split(" ")]
        g = gcd(min(line), max(line))
        print(str(g) + " " + str(line[0]*line[1]//g))
    except:
        exit()