Start with body weight exercises. How many push ups can you do? Can you beat Kewpie_Dan?
If not, then start pushing
Seriously though, you can do a lot with what you have.
Push ups work your tris and chest, hand stand push ups work your tris and shoulders (try them, they're killer), 1 legged squats build your lower body, sit ups/crunches and planks work the core.
Those are just some examples, and all of them involve a body and a floor. Hopefully you have both
Start working and post results!