The following code segment should read a list of numbers and compute their product. The value 0 is a sentinel. Although the program is syntactically correct, there are several logic errors which cause the program to work incorrectly. Correct these errors.

Question

```
int product, item;

cout << "Enter numbers to multiply, 0 to stop: " << endl;
while (item == 0)
{
product *= item;
cin >> item;
}
cout << "Their product is " << product << endl;
```

Answer 1

```
int product, item;

product = 1;
cout << "Enter numbers to multiply, 0 to stop: " << endl;
cin >> item;
while (item != 0)
{
product *= item;
cin >> item;
}
cout << "Their product is " << product << endl;
```