HDU 2837 Calculation(欧拉降幂)

题目:f(0) = 1 and 0^0=1。f(n) = (n%10)^f(n/10)  for all n >0. Please calculate f(n)%m. (2 ≤ n , m ≤ 10^9).

与上一题类似,都是降幂的,这个题需要递归。。

#include<bits/stdc++.h>
using namespace std;
#define ll long long
ll eular(ll n)
{
    ll ans=n;
    for(ll i=2;i*i<=n;i++)
    {
        if(n%i==0)
        {
            ans=ans-ans/i;
            while(n%i==0)
                n/=i;
        }
    }
    if(n>1)
    ans=ans-ans/n;
    return ans;
}
ll qmod(ll x,ll p,ll mod)
{
    ll ans=1;
    while(p)
    {
        if(p&1)
        {
            ans=ans*x;
            if(ans>mod)
                ans=ans%mod+mod;
        }
        x=x*x;
        if(x>mod)
            x=x%mod+mod;
        p>>=1;
    }
    return ans;
}
ll dfs(ll n, ll m)
{
    if(n<10) return n;
    ll tmp=dfs(n/10,eular(m));
    return qmod(n%10,tmp,m);
}
int t;
int main()
{
    scanf("%d",&t);
    while(t--)
    {
        ll n,m;
        scanf("%lld%lld",&n,&m);
        ll ans=dfs(n,m)%m;
        printf("%lld\n",ans);
    }
    return 0;
}

猜你喜欢

转载自blog.csdn.net/dllpxfire/article/details/81272264