Actually, that just depens on how much effort you want to put in there. When I said "lift weights 3 times and run once a week" I did assume that you just wanna get a lil in shape. If that is the case, I say don't worry about diats and that, just do some sport and you'll see a change.....but maybe I was wrong and you really wanna do this...? If so, you can lift up to 6 times a week in a split routine (I recommand 5 times a week though, gotta give your body a rest) and run more often. You might then even watch your pluse while runnin, it should be around 130 to get rid of fat.
talkin about the diat, you have to decide if you wanna get bigger or sharper. If you wanna get bigger, you have to eat more then you need so your body can build up. If you want 2 be sharper, you gotta get rid of fat and that means besides runnin, watchin what you eat and also eat a lil less then your body would need. If you just start workin out, the normal way is first to bulk up, gain muscles and strength and if you have reached a certain stage, you'll try to get rid of fat (while keep lifting weights so you don't lose muscles).
So it depens on how you wanna do this thing. One note I might add - it makes more sense 2 lift 3 times a week over a longer period of time then to start workin out with shitloads of motivation adn skip all this BS after a month. I see the guys start to work out, but only 20% of thopse guys actually stick with it. Don't ask too much from yourself, if you're not sure u can handle all this, you better do it the easy way (liftin 3 times and fuck diats) but keep doin it, cause after all you have to be motivated for months, not only for a couple of weeks.