I wanted to be a game developer once.... then as somebody said, the salaries in the news made me change my plan... I still studied CS though, wanted to purse MBA, aspired something, wanted something else, aimed to get job in some web dev company, did web dev in college days.... and guess what!
finally ended up in a game dev job ..... i sort of like it, but don't like it that much also..
game developer.. LOL, by studying CS, heck you won't even become a proper developer... CS will just dumb you down to its level.. all universities!! as liverpool said.
if you have the passion you got to do it yourself outside the college...
besides decide what you want to be exactly, jack of all but master of none, i.e an indie game dev or
game ENGINE developer, game artist, level design, there is physics, AI etc.. there are so many aspects to creating a game..
by studying c,c++,java, XYZ.. for years you will never become a game developer...
instead just create a full game for Android or iOS, tic tac toe to start with... that's what makes you a game dev... if you don't hv 1, get 1 smart phone... you are missing out everything in game dev world.... the recent trends i mean..
and yes, do take CS in engineering, it makes your life lot easier.
good luck.