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
while 1:
        try:
                a, b = map(int,raw_input().split())
        except EOFError:
                break
        ac, bc = a, b
        while 1:
                if a < b:
                        b = b - a
                elif b < a:
                        a = a - b
                elif a == b:
                        x = [a,ac*bc/a]
                        print "{:.10g} {:.10g}".format(*x)
                        break