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;print"\n".join("%d %d"%(lambda x:(x[2],x[0]/x[2]*x[1]))((lambda f,x:(x[0],x[1],f(f,x[0],x[1])))(lambda f,a,b:a%b==0 and b or f(f,b,a%b),map(int,s.split(' '))))for s in sys.stdin)