SPOJ MOD 离散对数

版权声明:By MrBird https://blog.csdn.net/MrBird_to_fly/article/details/82777479

题目描述
求方程A^X=B%C的最小非负整数解,这里的C不一定是素数。

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
//A^X=B%C
unordered_map<ll,int>mp;
ll exbsgs(ll a,ll b,ll c){
	if(c==1)return 0;
	ll d=1,cnt=0;
	a%=c,b%=c;
	ll mul=1;
	for(ll i=1;i<=50;i++){
		mul=mul*a%c;
		if(mul==b)return i;
	}
	while(__gcd(a,c)!=1){
		ll g=__gcd(a,c);
		if(b%g)return -1;
		cnt++;
		b/=g,c/=g;
		d=a/g*d%c;
	}

	ll m=ceil(sqrt(c));
	mp.clear();
	//i*m-j
	mul=1;
	for(ll j=1;j<=m;j++){
		mul=mul*a%c;
		mp[mul*b%c]=j;
	}
	for(ll i=1;i<=m;i++){
		d=d*mul%c;
		if(mp.find(d)!=mp.end()){
			return i*m-mp[d]+cnt;
		}
	}
	return -1;
}
int main(){
	ll a,b,c;
	while(~scanf("%lld%lld%lld",&a,&c,&b)){
		if(a==0&&b==0&&c==0)break;
		ll ans=exbsgs(a,b,c);
		if(ans==-1)printf("No Solution\n");
		else printf("%lld\n",ans);
	}
}

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转载自blog.csdn.net/MrBird_to_fly/article/details/82777479
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