program that read N integers from the console and reverses them using a stack

What did your instructor teach you? If you know what you were taught and need help with that, then just be more specific in your question. You need to show that you have tried, instead of just posting he decription of what you need and then hoping you can get someone else to do all of it for you.

This definitely looks like a homework assignment.  On C# Corner we tend to encourage you to do your own homework and not have it done for you so you actually learn the material.  Although C# Corner is one of the best places to find answers to your questions, we have a policy to avoid doing homework for students.  Anyway, if you solve the problem yourself, I promise you'll really understand the LIFO concept for stacks.