Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C++ (judge verdict: Time Limit Exceeded)


#include <iostream>
#include <cstdlib>
#include <cstdio>
#include <cmath>
#include <stack>
#include <cctype>
#include <complex>
#include <vector>
#include <algorithm>

using namespace std;


bool solve(){
	int a,b;
	while(cin>>a>>b){
		int lcm, gcd;
		
		for(int i=1; i<=min(a,b); i++){
			if(!(a%i) && !(b%i)) gcd = i;
		}
		lcm = a * (b / gcd);		//()必要。intの範囲のため
		
		cout<< gcd<< " "<< lcm<< endl;
	}

	return true;
}

int main(){
	cout.setf(ios::fixed);
	cout.precision(10);
	solve();

	return 0;
}