[BZOJ 1441]Min

danihao123 posted @ 2016年8月17日 16:01 in 题解 with tags BZOJ 数学 数论 , 598 阅读
转载请注明出处:http://danihao123.is-programmer.com/

这个问题看似无从下手。

我们可以先取[tex]n=2[/tex],然后你就发现你似乎要解[tex]A_{1}X_{1}+A_{2}X_{2}>0[/tex],而且还要求[tex]S[/tex]最小?你想到了什么?扩展欧几里得?对头!

由扩欧推广可得答案就是所有数的最大公约数。

代码:

/**************************************************************
    Problem: 1441
    User: danihao123
    Language: C++
    Result: Accepted
    Time:0 ms
    Memory:820 kb
****************************************************************/
 
#include <cstdio>
#include <cmath>
#include <algorithm>
using namespace std;
int gcd(int a,int b){
    return b==0?a:gcd(b,a%b);
}
int main(){
    register int ans,i;
    int n,temp;
    scanf("%d",&n);
    scanf("%d",&temp);
    ans=abs(temp);
    for(i=2;i<=n;i++){
        scanf("%d",&temp);
        ans=gcd(ans,abs(temp));
    }
    printf("%d\n",ans);
    return 0;
}
samplepaper.in 说:
Jul 04, 2023 11:35:58 AM

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