Hankson的趣味题

Posted 2020-11-08 lmjer

#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;

typedef long long ll;

const ll maxn=20000+10;
ll ma,mb,mc,md,mx,a,b,c,d,x;
ll prime[maxn],cnt[maxn];
ll top;
bool p[4000000+10];

ll getnum(ll gc,ll t){
    ll num=0;
    while(t%gc==0){
        num++;
        t/=gc;
    }
    return num;
}

ll check(ll gc){
     ma=getnum(gc,a);
     mb=getnum(gc,b);
     mc=getnum(gc,c);
     md=getnum(gc,d);
     ll num=0;
     if(ma>mc&&mb<md&&mc==md) num++;
     if(ma>mc&&mb==md&&mc<=md) num++;
     if(ma==mc&&mb<md&&mc<=md) num++;
     if(ma==mc&&mb==md&&mc<=md) num+=(md-mc+1);
     return num;
}

int main(){
    //freopen("vvv.out","w",stdout);
    ll n;
    for (ll i=2;i<=2000000;i++){
        if(p[i]) continue;
        for(ll j=i;j<=2000000/i;j++){
            p[i*j]=true;
        }
    }
    ll m=0;
    for (ll i=2;i<=2000000;i++) if(!p[i]) prime[++m]=i;
    scanf("%lld",&n);
    while(n--){
        top=0;
        ll ans=1;
        memset(cnt,1,sizeof(cnt));
        scanf("%lld%lld%lld%lld",&a,&c,&b,&d);
         if (a%c||d%b) {printf("0\n");continue;}
        for (ll i=1;prime[i]<=d;i++){
            if(d%prime[i]==0){
                cnt[++top]=check(prime[i]);//prllf("%d\n",cnt[top]);
            }
        }
        for (ll i=1;i<=top;i++){
            ans*=cnt[i];
        }
        //if(ans==1) printf("%d\n",0);
        printf("%lld\n",ans);
    }
return 0;
}