題目:
我這個題目直接複製粘貼的,所以會有顯示上的問題;
B. Divisors of Two Integers
time limit per test1 second
memory limit per test256 megabytes
inputstandard input
outputstandard output
Recently you have received two positive integer numbers x and y. You forgot them, but you remembered a shuffled list containing all divisors of x (including 1 and x) and all divisors of y (including 1 and y). If d is a divisor of both numbers x and y at the same time, there are two occurrences of d in the list.
For example, if x=4 and y=6 then the given list can be any permutation of the list [1,2,4,1,2,3,6]. Some of the possible lists are: [1,1,2,4,6,3,2], [4,6,1,1,2,3,2] or [1,6,3,2,4,1,2].
Your problem is to restore suitable positive integer numbers x and y that would yield the same list of divisors (possibly in different order).
It is guaranteed that the answer exists, i.e. the given list of divisors corresponds to some positive integers x and y.
Input
The first line contains one integer n (2≤n≤128) — the number of divisors of x and y.
The second line of the input contains n integers d1,d2,…,dn (1≤di≤104), where di is either divisor of x or divisor of y. If a number is divisor of both numbers x and y then there are two copies of this number in the list.
Output
Print two positive integer numbers x and y — such numbers that merged list of their divisors is the permutation of the given list of integers. It is guaranteed that the answer exists.
Example
inputCopy
10
10 2 8 1 2 4 1 20 4 5
outputCopy
20 8
題意:
題意就是:然後給出一個由兩個數a,b的所有因子組成的序列,然後讓你求出這兩個數,我們用桶記錄這個序列裏面的數就好了,然後拿出最大的那個數一定就是ab其中的一個,這個最大數取出所有因子去桶那裏抵消一下就好了。
完整代碼實現:
#include <iostream>
#include <algorithm>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <string>
#include <climits>
#include <queue>
#include <stack>
#include <map>
//鬼畜頭文件
using namespace std;
#define INF 0x3f3f3f3f
#define ULL unsigned long long
#define LL long long
//鬼畜define
int n;
int tong[10001];
int main()
{
scanf("%d",&n);
fill(tong,tong+n,0);
int _MAX=-1;
long long sum=1;
for(int time=0;time<n;time++)
{
int num;
scanf("%d",&num);
tong[num]++;
if(_MAX==-1||_MAX<num)_MAX=num;
}
//input finished;
int time;
for(time=1;time*time<_MAX;time++)
{
if(_MAX%time==0){tong[time]--;tong[_MAX/time]--;}
}
if(time*time==_MAX)tong[time]--;
int ans=1;
for(time=_MAX;time>=1;time--)
{
if(tong[time]==1){ans=time;break;}
}
printf("%d %d\n",_MAX,ans);
return 0;
}