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
#include<cstdio>
int gcd(int a,int b)
{
    return b?gcd(b,a%b):a;
}
int main()
{
    int a,b;
    while(scanf("%d%d",&a,&b)!=EOF)
    {
        int d=gcd(a,b);
        int lc=a/d*b;
        printf("%d %d\n",d,lc);
    }
}