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):
    b %= a
    return b if a%b == 0 else GCD(b, a)
        

while True:
    try:
        a, b = list(map(float, input().split()))
    except EOFError:
        break
    if a >= b:
        a, b = b, a
    gcd = GCD(a, b) if b%a != 0 else a
    print("{0} {1}".format(int(gcd), int(a*b/gcd)))