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Cod sursa(job #58229)
var f1,f2:text;
a,b,d,x,m,s1,s2,nr,max,p,s:longint;
i,j,n,q,nr1,h:longint;
procedure putere(d,x:longint);
begin
p:=1;
s:=0;
while p*d<=x do
begin
p:=p*d;
s:=s+x div p;
end;
end;
procedure search(li,ls:qword);
begin
m:=(li+ls) div 2;
putere(a,m*a);
s1:=s;
putere(a,(m-1)*a);
s2:=s;
if (s1>=b)and(s2<b) then nr1:=m*a
else if li<ls then if s1>=b then search(li,m-1)
else search(m+1,ls);
end;
begin
assign(f1,'gfact.in');
reset(f1);
assign(f2,'gfact.out');
rewrite(f2);
read(f1,h,q);
nr:=2;j:=0;
while h<>1 do
begin
x:=1;
a:=0;
b:=0;
if h mod nr=0 then
begin
a:=nr;
x:=0;
end;
while h mod nr=0 do
begin
inc(b);
h:=h div nr;
end;
if x=0 then
begin
b:=b*q;
n:=j;
nr1:=0;
search(1,b);
if nr1>max then max:=nr1;
end;
inc(nr,2);
end;
writeln(f2,max);
close(f1);
close(f2);
end.