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(n, m):
    while m:
        n, m = m, n % m
    return n


def lcm(x, y):
    return int((x * y) / gcd(x, y))

for line in sys.stdin:
    l = line.replace('\n', '')
    a, b = l.split()
    a = int(a)
    b = int(b)
    print(gcd(a, b), lcm(a, b))