[Question] Does anyone know of how I can fix this App Store problem?

Hello. I recently bought an app on the App store. The app downloaded and bought fine on my hackintosh, but upon opening the programme, it just looped on the enter apple ID dialogue, saying the programme was bought on a different PC. I'd enter the password right, but it would just ask again. I later tried again, and instead of that, it just told me the programme was damaged. What was wrong with it? What could I do?