中國剩余定理【數論】
阿新 • • 發佈:2019-01-23
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今有物不知其數,三三數之剩二,五五數之剩三,七七數之剩二。問物幾何?
https://www.cnblogs.com/freinds/p/6388992.html https://blog.csdn.net/niiick/article/details/80229217
void exgcd(int a,int b,int &x,int &y) { if(b==0){ x=1; y=0; return;} exgcd(b,a%b,x,y); int tp=x; x=y; y=tp-a/b*y; } int china() { int ans=0,lcm=1,x,y; for(int i=1;i<=k;++i) lcm*=b[i]; for(int i=1;i<=k;++i) { int tp=lcm/b[i]; exgcd(tp,b[i],x,y); x=(x%b[i]+b[i])%b[i];//x要為最小非負整數解 ans=(ans+tp*x*a[i])%lcm; } return (ans+lcm)%lcm; }
中國剩余定理【數論】