HDU 4135

#include <iostream>
#include <cstdio>
#include <cstring>
#include <vector>
using namespace std;

typedef __int64 ll;

ll A,B,N;

vector <ll> v;

ll gao(ll n){
    int m=v.size();
    ll res=0;
    for(int i=1;i<(1<<m);i++){
        int cnt=0;
        ll temp=1;
        for(int j=0;j<m;j++){
            if(i&(1<<j)){
                cnt++;
                temp*=v[j];
            }
        }
        if(cnt&1)res+=n/temp;
        else res-=n/temp;
    }
    return n-res;
}

int main(){
    int T;
    scanf("%d",&T);
    for(int cas=1;cas<=T;cas++){
        scanf("%I64d%I64d%I64d",&A,&B,&N);
        v.clear();
        for(ll i=2;i*i<=N;i++){
            if(N%i==0){
                v.push_back(i);
                while(N%i==0)N/=i;
            }
        }
        if(N>1)v.push_back(N);
        printf("Case #%d: %I64d\n",cas,gao(B)-gao(A-1));
    }
    return 0;
}