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

def gcd(inta, intb):
    large = max(inta, intb)
    small = min(inta,intb)
    mod = large % small
    if mod ==0:
        return small
    else:
        return gcd(small, mod) 
    
def lcm(inta, intb, intgcd):
    return (inta * intb // intgcd)

sets = sys.stdin.readlines()
for line in sets:
    a, b = map(int, line.split())
    c = gcd(a, b)
    print(c, lcm(a, b, c))