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
import sys

def gcd(m, n):
    r = m % n
    if r == 0:
        return n
    else:
        return gcd(n, r)

lines = sys.stdin.readlines()
for line in lines:
    a, b = map(int, line.split())
    m = max(a, b)
    n = min(a, b)
    print(gcd(m, n), m * n // gcd(m, n))