#include<cstdio>

using namespace std;

int gcd(int a,int b){
	if(b==0)return a;
	return gcd(b,a-(a/b)*b);
}

int main(){
	int a,b;
	int g,l;
	int tmp;
	while ( ! (scanf("%d %d",&a,&b) == EOF) ){
		g = gcd(a,b);
		l = a/g*b;
		printf("%d %d\n",g,l);
	}
}
### Prompt

Construct a Cpp code solution to the problem outlined:

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>

using namespace std;

int gcd(int a,int b){
	if(b==0)return a;
	return gcd(b,a-(a/b)*b);
}

int main(){
	int a,b;
	int g,l;
	int tmp;
	while ( ! (scanf("%d %d",&a,&b) == EOF) ){
		g = gcd(a,b);
		l = a/g*b;
		printf("%d %d\n",g,l);
	}
}
```