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
for i in sys.stdin:
    a,b=map(int,i.split())
    if a<b:a,b=b,a
    def gcd(x,y):
        while y>0:x,y=y,x%y
        return x
    def lcm(x,y):
         return x*y/gcd(x,y)
    print(gcd(a,b),int(lcm(a,b)))