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
def gcd(a,b):
    while True:
        if a > b:
            a %= b
        else:
            b %= a
        if a == 0 or b == 0:
            return max(a,b)

def lcm(a,b,g):
    return int(a*b/g)
from sys import stdin
for l in stdin:
    a,b = list(map(int,l.split()))
    g = gcd(a,b)
    print ("%s %s"%(g,lcm(a,b,g)))