#include<cstdio>
int g(int x,int y){
	if(y==0)return x;
	return g(y,x%y);
}

int main(){
	int a,b;
	while(~scanf("%d%d",&a,&b))printf("%d %d\n",g(a,b),a/g(a,b)*b);
}
### Prompt

Develop a solution in CPP to the problem described below:

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<cstdio>
int g(int x,int y){
	if(y==0)return x;
	return g(y,x%y);
}

int main(){
	int a,b;
	while(~scanf("%d%d",&a,&b))printf("%d %d\n",g(a,b),a/g(a,b)*b);
}
```