#include<cstdio>
#include<cmath>
#include<algorithm>
#define ll long long
using namespace std;
void gcd(ll a,ll b,ll &d,ll &x,ll &y){
if(!b){d=a;x=1;y=0;}
else{ gcd(b,a%b,d,y,x);y-=x*(a/b);}
}
int n,N;
ll a[100005],r[100005];
ll solve(){ //从1开始
ll M=a[1],R=r[1],x,y,d;
for(int i=2;i<=n;i++){
gcd(M,a[i],d,x,y);
if((R-r[i])%d!=0) return -1;
x=(R-r[i])/d*x%a[i];
R-=x*M;
M=M/d*a[i];
R%=M;
}
ll cnt=0,X=(R%M+M)%M;
for(int i=0;X<N;i++){
X+=M;
cnt++;
}
return cnt;
}
int main(){
int t;
scanf("%d",&t);
while(t--){
scanf("%d%d",&N,&n);
for(int i=1;i<=n;i++)
scanf("%lld",&a[i]);
for(int i=1;i<=n;i++)
scanf("%lld",&r[i]);
printf("%lld\n",solve());
}
return 0;
}
带提交: hdu 1573 X问题(一元同余方程组)
最新推荐文章于 2019-09-28 22:20:17 发布