IMO, the easiest way to get a full body workout is alternating rowing with push-ups. Rowing alone works almost everything, plus cardio and push-ups largely gets the rest.
Great advice. There are more complex variations of this (essentially, the reddit "bodyweightfitness" recommended routine mentioned in other threads) but these two basic motions are really the meat of it all.
If you just want to get started, this "one weird trick" of doing body weight rows and push ups really will work. Both exercises have numerous variations to increase load, as well. Then you can use something like the OP's site to find other body weight exercises to sprinkle in.