If you're looking for a cheap gaming laptop from Lenovo and don't have excessively high requirements, you can have fun with games in Full HD for less than 800 Euros (~$872). However, minor weaknesses must also be accepted with the price.
https://www.notebookcheck.net/Gaming-doesn-t-have-to-be-expensive-Low-priced-entry-with-Lenovo-s-IdeaPad-L340-and-GeForce-GTX-graphics.436560.0.html