P9632 [ICPC2020 Nanjing R] K Co-prime Permutation

合集 - 思维题(99)

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35.P9632 [ICPC2020 Nanjing R] K Co-prime Permutation2024-03-08

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原题链接

题解

我一开始也很困惑，然后我想要不数据范围小一点我构造看看
当 $n=5$ 时

• $k=0$ 可不可以
• $k=1$ 可不可以
• $k=2$ 可不可以

然后根据直觉，$gcd(a,a+1)$ 始终为一，且 一 和任何数的最大公约数都为一，自己和自己的最大公约数还是自己，所以萌生了以下想法
把一后面 $k-1$ 个数往前移，然后一填过去

code

#include<bits/stdc++.h>
using namespace std;
int main()
{
    int n,k;
    cin>>n>>k;

    if(k==0)  printf("-1");
    else
    {
        int i;
        for(i=1;i<k;i++) cout<<i+1<<" ";
        cout<<1;
        if(i!=n)
        {
            i++;
            for(;i<=n;i++) cout<<" "<<i;
        }
    }
    return 0;
}