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Cod sursa(job #80438)
#include<stdio.h>
#include<math.h>
#include<limits.h>
long n,b,v[100],ex[100],nr, contor, minim=LONG_MAX, expmin;
int prim(long x)
{
long i;
if (x==0 || x==1) return 0;
if (x==2) return 1;
for (i=3; i*i<=x; i+=2)
if (x%i==0) return 0;
return 1;
}
void descomp(long x)
{
long copy=x, i;
nr=0;
if (copy%2==0)
{
v[++nr]=2;
while (copy%2==0) {ex[nr]++; copy/=2;}
}
for (i=2; i<=copy; i++)
{
if (copy%i==0)
{
v[++nr]=i;
while (copy%i==0) {ex[nr]++; copy/=i;}
}
}
}
int nrz()
{
int i, j, cont;
for (i=1; i<=nr; i++)
{
cont=0;
for (j=1; j<=ex[i]; j++)
cont+=(n/pow(v[i],j));
if (cont<minim) minim=cont, expmin=ex[i];
}
return minim;
}
int main()
{
long z,i,j;
freopen("zero2.in","r",stdin);
freopen("zero2.out","w",stdout);
for (z=1; z<=10; z++)
{
contor=0;
scanf("%ld %ld",&n,&b);
descomp(b);
contor=nrz();
printf("%ld\n",contor/expmin);
}
return 0;
}