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: Memory Limit Exceeded)

import sys

temp = []
largest = 1

for line in sys.stdin:
    a,b = [int(x) for x in line.split()]
    if a > b:
        x,y = a,b
    else:
        x,y = b,a
    for i in list(reversed(range(2, x))):
        if (x % i) == 0 and (y % i) == 0:
            x = x / i
            y = y / i
            largest *= i
    smallest = largest * (a/largest) * (b/largest)
    print('%d %d' % (largest, smallest))
    largest = 1