We've seen this so many times before. It's way too dangerous to work off the mains without a transformer.
Now that I've done the "safety" thing, you must put a resistor in series with each series string of LEDs. You see, LED's are current dependent animals and their personal voltage varies with temperature and manufacturing variations. If you put a bunch of them in parallel, they will fight, overheat, and start burning out.
Other than that, use a mains transformer. Not just for safety reasons, but because the resistors used to lower the rectified voltage for the regulator chip will be huge, expensive, and wasteful of energy.