How aout getting those plastic granules that were used to remove rain clouds, and placing them into the cat food. Then when the cat pees, the granules (Which have been refined to a constituancy similar to liquid) soak up the pee and stench, then you can just vacuum it up.
[Warning: Don't feed your cat and dog anything as odd as I have stated in any of my posts, they might get injured, die or be really expensive if they develop a taste for that particular product.]