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 <iostream>
using namespace std;
typedef long long LL;
LL gcd(LL a, LL b) {return b?gcd(b, a%b):a; }

int main()
{
    LL a, b;
    while(cin>>a>>b)
    {
        LL t = gcd(a, b);
        cout<<t<<" "<<a/t*b<<endl;
    }
    return 0;
}