Hi Dave,
The error is caused because of square bracket[] (I just wrote code in Java, so I used wrong () ). After changing to [], the program runs correctly.
Thanks for everything, Dave.

#include <iostream>
#define LENGTH 5
#define ERROR -1

using std::cout;
using std::cin;
using std::endl;

class Array
{
public:
Array()
{
array = new int[LENGTH];
}

~Array()
{
delete[] array;
}

void setElement(int index, int value)
{
if ( index >= 0 && index < LENGTH )
array[index] = value;
else
cout << "INVALID INDEX" << endl;
}

int getElement(int index) const
{
if ( index >= 0 && index < LENGTH )
return array[index];
else
{
cout << "INVALID INDEX" << endl;
return ERROR;
}


}
private:
int* array;

};

Array* getArray();
void printArray(Array* array);

int main()
{
Array* array = getArray();

cout << "array in main" << endl;
printArray(array);

Array* array2 = getArray();

cout << "array in main" << endl;
printArray(array2);

cout << "array in main" << endl;
printArray(array);

delete array2;
delete array;

return 0;
}

Array* getArray()
{
int value = 0;
Array* array = new Array();

for (int i = 0; i < LENGTH; i++)
{
cout << "Enter an integer: ";
cin >> value;
array->setElement(i, value);
}

cout << "array in getArray()" << endl;
printArray(array);

return array;
}

void printArray(Array* array)
{
for (int i = 0; i < LENGTH; i++)
cout << array->getElement(i) << " ";

cout << endl;
cout << endl;
}

/*
Output:

Enter an integer: 1
Enter an integer: 2
Enter an integer: 3
Enter an integer: 4
Enter an integer: 5
array in getArray()
1 2 3 4 5

array in main
1 2 3 4 5

Enter an integer: 10
Enter an integer: 20
Enter an integer: 30
Enter an integer: 40
Enter an integer: 50
array in getArray()
10 20 30 40 50

array in main
10 20 30 40 50

array in main
1 2 3 4 5

Press any key to continue
*/