【模板】中国剩余定理CRT

参考题目：51nod1079

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解析：

联赛结束后统一更模板题题解。

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代码：

#include
using namespace std;
#define ll long long
#define re register
#define gc getchar
#define pc putchar
#define cs const

inline int getint(){
	re int num;
	re char c;
	while(!isdigit(c=gc()));num=c^48;
	while(isdigit(c=gc()))num=(num<<1)+(num<<3)+(c^48);
	return num;
}

inline ll quickpow(ll a,ll b,ll mod){
	ll ans=1;
	for(;b;b>>=1,a=a*a%mod)if(b&1)ans=ans*a%mod;
	return ans;
}

inline ll inv(ll a,ll m){
	return quickpow(a,m-2,m);
}

cs int N=11;
ll mod[N],remain[N];
int n;
ll m=1;

inline int CRT(){
	for(int re i=1;i<=n;++i)m*=mod[i];
	ll ans=0;
	for(int re i=1;i<=n;++i){
		ans=(ans+(m/mod[i])*inv(m/mod[i],mod[i])%m*remain[i]%m)%m;
	}
	return ans;
}

signed main(){
	n=getint();
	for(int re i=1;i<=n;++i){
		mod[i]=getint();
		remain[i]=getint();
	}
	cout<<CRT();
	return 0;
} 

转载于:https://www.cnblogs.com/zxyoi/p/10047171.html