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Cod sursa(job #125488)
#include <stdio.h>
int main()
{ int p,q,st,dr,m,nr,cp,d,c;
FILE*f=fopen("gfact.in","r");
FILE*g=fopen("gfact.out","w");
fscanf(f,"%d%d",&p,&q);
d=1;
while(p!=1)
{
d++;
c=0;
while(p%d==0)
{
c++;
p=p/d;
}
}
q=q*c;
st=1;
dr=2000000000;
while(st<=dr)
{
nr=0;
cp=d;
m=(st+dr)/2;
while(m/cp)
{
nr=nr+m/cp;
cp=cp*d;
}
if (nr==q)
{
while(m%d) m--;
fprintf(g,"%d",m);
return 0;
}
if (nr>q) dr=m-1;
if (nr<q) st=m+1;
}
fprintf(g,"%d",st);
return 0;
}