#include <iostream> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; const int MaxM=11; int a[MaxM],b[MaxM]; void exgcd(int a,int b,int &d,int &x,int &y){ if(b==0){ x=1; y=0; d=a; } else{ exgcd(b,a%b,d,x,y); int tmp=x; x=y; y=tmp-(a/b)*y; } } int gcd(int a,int b){ if(b==0) return a; return gcd(b,a%b); } int main(){ int t; int a1,r1,a2,r2; int aa,bb,cc,dd; int x,y; int g; scanf("%d",&t); int n,m; bool ifhave; int kase=0; while(t--){ kase++; scanf("%d",&m); g=1; for(int i=0;i<m;i++){ scanf("%d",&a[i]); if(i==0){ g=a[i]; continue; } g=g*a[i]/gcd(g,a[i]); } for(int i=0;i<m;i++) scanf("%d",&b[i]); a1=a[0]; r1=b[0]; ifhave=true; for(int i=1;i<m;i++){ a2=a[i]; r2=b[i]; aa=a1; bb=a2; cc=r2-r1; exgcd(aa,bb,dd,x,y); if(cc%dd!=0){ ifhave=false; break; } int t=bb/dd; x=(x*(cc/dd)%t+t)%t; r1=a1*x+r1; a1=a1*(a2/dd); } printf("Case %d: ",kase); if(!ifhave) printf("-1\n"); else{ if(r1==0) printf("%d\n",g); else printf("%d\n",r1); } } return 0; }
时间: 2024-11-05 06:12:49