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Cod sursa(job #213841)
#include <fstream>
int prime[100000];
int np;
using namespace std;
int eulerphi (int nr) {
int prod = 1;
int c = 1;
bool flg;
while ((nr > 1) && (c <= np)) {
flg = false;
while (nr%prime[c] == 0){
flg = true;
prod *= prime[c];
nr /= prime[c];
}
if (flg) { prod /= prime[c]; prod *= prime[c] - 1; }
c++;
}
return prod;
}
bool eprim(int i){
for (int j = 2; j*j<=i; j++){
if (i%j == 0){
return false;
}
}
return true;
}
void genprimes(){
int i;
np = 5;
prime[1] = 2; prime[2] = 3; prime[3] = 5;
prime[4] = 7; prime[5] = 11;
for (i = 12; i <= 1000000; i++) {
if (!((i%2 == 0) || (i%3 == 0))) {
if (!((i%5 == 0) || (i%7 == 0))) {
if (!(i%11 == 0)){
if (eprim(i)){
np++;
prime[np] = i;
}
}
}
}
}
}
int main(){
int n, nr;
ifstream fin("fractii.in");
ofstream fout("fractii.out");
fin >> n;
genprimes();
nr = -1;
for (int i = 1; i <= n; i++) nr += 2*eulerphi(i);
fout << nr;
fin.close();
fout.close();
return 0x0;
}