Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in Python3 (judge verdict: Accepted)

import sys

for s in sys.stdin:
    a = list(map(int, s.split()))
    b = a[0]
    c = a[1]

    while c != 0:
        b, c = c, b%c

    d = a[0] * a[1] / b
    print(int(b), int(d))