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Cod sursa(job #250995)
#include <stdio.h>
#include <string.h>
int prim[123],x,n,k,i,d,e,j,rez[123],p[123],max;
void fact(int a)
{
e=0;
d=2;
while(a%d==0)
{
a/=d;
e++;
}
if (e>0)
prim[d]+=e;
d=3;
while(d*d<=a)
{
e=0;
while(a%d==0)
{
a/=d;
e++;
}
if (e>0)
prim[d]+=e;
d+=2;
}
}
void init(int cif)
{
int i,t=0;
for(i=1;i<=p[0]||t;++i)
{
t+=p[i]*cif;
p[i]=t%10;
t/=10;
}
p[0]=i-1;
}
void mul(int A[], int B[])
{
int i, j, t, C[123];
memset(C,0,sizeof(C));
for (i=1;i<=A[0];++i)
{
for (t=0,j=1;j<=B[0] || t;++j,t/=10)
C[i+j-1]=(t+=C[i+j-1]+A[i]*B[j])%10;
if (i+j-2>C[0]) C[0]=i+j-2;
}
memcpy(A,C,sizeof(C));
}
int main()
{
freopen("factoriale.in","r",stdin);
freopen("factoriale.out","w",stdout);
scanf("%d %d",&n,&k);
for (i=1;i<=n;++i)
{
scanf("%d", &x);
for (j=2;j<=x;++j)
fact(j);
}
rez[0]=1;
rez[1]=1;
for (i=2;i<=100;++i)
if (prim[i]>0)
{
if (prim[i]%k!=0)
{
p[0]=1;
p[1]=1;
for (j=1;j<=k-(prim[i]%k);++j)
init(i);
mul(rez,p);
}
}
printf("%d", rez[rez[0]]);
for (i=rez[0]-1;i>=1;--i)
printf("%d",rez[i]);
return 0;
}