#include<bits/stdc++.h>
using namespace std;
int n,m;
int gcd(int a,int b){
    return b?gcd(b,a%b):a;
}
int main()
{
    while(cin>>n>>m){
        int d=gcd(n,m);
        int lcm=n/d*m;
        cout<<d<<" "<<lcm<<endl;
    }
    return 0;
}


### Prompt

Please create a solution in CPP to the following problem:

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

### Response

```cpp
#include<bits/stdc++.h>
using namespace std;
int n,m;
int gcd(int a,int b){
    return b?gcd(b,a%b):a;
}
int main()
{
    while(cin>>n>>m){
        int d=gcd(n,m);
        int lcm=n/d*m;
        cout<<d<<" "<<lcm<<endl;
    }
    return 0;
}


```