P1592 mutual quality

Input: two positive integers n and K, and K positive integers with n are coprime.

$n≤10^6,k≤10^8$

 

You can quote the number of Coprime, and find that there is a cycle.

For example, 10

The 1379111317192123 272931333739 of its coprime

Horizontal groove section!!!!!

The circular section is equal to 4, the difference =10 (n) of each cycle.

So…

First deal with 1-N and N coprime.

Then find K’s loop section.

#include<cstdio>
#include<iostream>
#include<cstring>
#include<cctype>
#include<algorithm>
using namespace std;
#define int long long
#define olinr return
#define _ 0
#define love_nmr 0
#define DB double
int n;
int k;
int num;
int a[1005000];
inline int read()
{
    int x=0,f=1;
    char ch=getchar();
    while(!isdigit(ch))
    {
        if(ch=='-')
            f=-f;
        ch=getchar();
    }
    while(isdigit(ch))
    {
        x=(x<<1)+(x<<3)+(ch^48);
        ch=getchar();
    }
    return x*f;
}
inline void put(int x)
{
    if(x<0)
    {
        x=-x;
        putchar('-');
    }
    if(x>9)
        put(x/10);
    putchar(x%10+'0');
}
signed main()
{
    n=read();
    k=read();
    for(int i=1;i<n;i++)
        if(__gcd(i,n)==1) 
            a[++num]=i;
    put((k-1)/num*n+a[(k-1)%num+1]);   //k-1/num:kThe number of loop sections before the loop is prevented from 0, so -1 re +1
    olinr ~~(0^_^0)+love_nmr;
}

 

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