values updating? why?

Well...it's slightly complex.

#include<iostream>
using namespace std;

int main(){
 int iCount=0;
  int array[iCount], iInput,i;
  cout<<"HOW MANY NUMBERS:" ;
  cin >> iInput;

  for(i=0; i<iinput;++i){>
        cin>> array[iCount];
        iCount++;
 }
return 0;
}

Look at your definition of array - it's a array of integers, but the number of integers you can store in it is controlled by iCount - which at the time you create the array is zero (because the line above says so).

So when you get to the point of storing a value in the array:

cin>> array[iCount];

there isn't really anywhere to store it, so it will overwrite the "next" variable on the stack - which happens to be iInput.

Give the array a size, and it should start to work.