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

temp = []
largest = 1

for line in sys.stdin:
    a,b = [int(x) for x in line.split()]
    if a > b:
        x,y = a,b
    else:
        x,y = b,a
    while y:
        x,y = y,x%y
    smallest = x * (a/x) * (b/x)
    print('%d %d' % (x, smallest))