Mai intai trebuie sa te autentifici.
Cod sursa(job #1292850)
Utilizator | Data | 14 decembrie 2014 21:04:43 | |
---|---|---|---|
Problema | Principiul includerii si excluderii | Scor | 100 |
Compilator | cpp | Status | done |
Runda | Arhiva educationala | Marime | 1.73 kb |
#include<cstdio>
#include<fstream>
#include<iostream>
#include<iomanip>
#include<algorithm>
#include<vector>
#include<bitset>
#include<deque>
#include<queue>
#include<set>
#include<map>
#include<cmath>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<unordered_map>
#define ll long long
#define pb push_back
#define mp make_pair
#define pii pair<int,int>
#define pll pair<ll,ll>
using namespace std;
const int pmax = 1000005;
int i, cnt, q, lim, j, g, t, f[105], p[pmax / 10];
long long a, b, nr, sol;
bitset<pmax> viz;
int main()
{
freopen("pinex.in", "r", stdin);
freopen("pinex.out", "w", stdout);
p[++q] = 2;
lim = 1000000;
for(i = 3; i * i <= lim; i += 2)
if(!viz[i])
{
p[++q] = i;
for(j = i * i; j <= lim; j += i * 2)
viz[j] = 1;
}
for(; i <= lim; i += 2)
if(!viz[i])
p[++q] = i;
scanf("%d", &t);
for(; t; t--)
{
scanf("%lld%lld", &a, &b);
g = -1;
for(i = 1; i <= q && 1LL * p[i]*p[i] <= b; i++)
if(b % p[i] == 0)
{
f[++g] = p[i];
while(b % p[i] == 0) b /= p[i];
}
if(b > 1) f[++g] = b;
g++;
lim = 1 << g;
sol = 0;
for(i = 1; i < lim; i++)
{
cnt = 0;
nr = 1;
for(j = 0; j < g; j++)
if((1 << j) & i)
{
cnt++;
nr *= f[j];
}
if(cnt & 1) sol += a / nr;
else sol -= a / nr;
}
printf("%lld\n", a - sol);
}
return 0;
}