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)

from sys import stdin
import math

def GCD(a,b):
    if(a%b==0):
        return b
    else:
        c = a%b
        return GCD(b,c)

def LCM(a,b):
    gcd = GCD(a,b)
    return int(a*b/gcd)

for line in stdin:
    a,b = line.split(" ")
    a = int(a)
    b = int(b)
    gcd = GCD(a,b)
    lcm = LCM(a,b)

    print(str(gcd)+" "+str(lcm))