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(y, x):
    if x == 0:
        return y
    return gcd(x, y%x)
try:
    while True:
        a, b = sorted(map(int, input().split()), reverse=True)
        print(gcd(a,b), a*b//gcd(a,b))
except:
    pass
