广义欧拉降幂对于狭义欧拉降幂任然适用
https://blog.csdn.net/qq_37632935/article/details/81264965?tdsourcetag=s_pctim_aiomsg
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#include<bits/stdc++.h> using namespace std; #define ll long long ll Pow(ll a,ll b,ll p){ ll res=1; while(b){ if(b%2) res=res*a%p; b>>=1;a=a*a%p; } return res; } ll phi(ll x){ ll res=x,tmp=x; for(ll i=2;i*i<=tmp;i++) if(tmp%i==0){ res=res*(i-1)/i; while(tmp%i==0)tmp/=i; } if(tmp>1) res=res*(tmp-1)/tmp; return res; } ll f(ll p){ if(p==1)return 0; ll q=phi(p); return Pow(2,q+f(q),p); } int main(){ int t;ll p;cin>>t; while(t--){ cin>>p; cout<<f(p)<<'\n'; } }
#include<iostream> #include<cstring> #include<cstdio> using namespace std; #define ll long long #define maxn 1000005 char b[maxn]; ll A,C,B; ll phi(ll x){ ll res=x,tmp=x; for(ll i=2;i*i<=tmp;i++) if(tmp%i==0){ res=res-res/i; while(tmp%i==0) tmp/=i; } if(tmp>1) res=res-res/tmp; return res; } ll Pow(ll a,ll b,ll p){ ll res=1; while(b){ if(b%2) res=res*a%p; b>>=1;a=a*a%p; } return res; } int main(){ while(cin>>A){ scanf("%s",b); cin>>C; ll p=phi(C); int len=strlen(b); B=0; for(int i=0;i<len;i++) B=(B*10+b[i]-'0')%p; cout<<Pow(A,B,C)<<'\n'; } }