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Cod sursa(job #694014)
#include <fstream>
#include <vector>
#include <bitset>
#define tip long long
#define MA 1000000000000000001
#define MB 1000000000001
#define NP 1000010
using namespace std;
ifstream f("pinex.in");
ofstream g("pinex.out");
bitset<NP> Ciur;
vector<tip> Primes;
vector<tip> Div;
int T;
tip A,B;
void GenPrimes();
tip Solve(tip,tip);
tip LgPow(tip,tip);
int main() {
GenPrimes();
f >> T;
for (;T;--T) {
f >> A >> B;
g << Solve(A,B) << '\n';
}
f.close();g.close();
return 0;
}
void GenPrimes() {
for (tip i=2;i<NP;i++)
if (!Ciur[i]) {
Primes.push_back(i);
for (tip j=i*i;j<NP;j+=i) Ciur[j]=1;
}
}
tip Solve(tip A,tip B) {
Div.clear();
tip C=B;
for (tip i=0;i<Primes.size() && C>1;i++)
if (C%Primes[i]==0) {
Div.push_back(Primes[i]);
while (C>1 && C%Primes[i]==0) C/=Primes[i];
}
C=Div.size();
tip Comb=(tip)LgPow(2,C),ANS=0,Sign,Prod;
for (tip i=1;i<Comb;i++) {
Sign=0;Prod=1;
for (tip k=1,c=0;k<Comb;k*=2,++c)
if (i&k) {
++Sign;
Prod*=Div[c];
}
if (Sign%2==1) Sign=1;
else Sign=-1;
Prod=A/Prod;
ANS+=Prod*Sign;
}
return (A-ANS);
}
tip LgPow(tip b,tip p) {
tip x,r;
for (x=b,r=1;p>0;p>>=1) {
if ((p & 1) !=0)
r=r*x;
x=x*x;
}
return r;
}