LPS stands for Large Polyp Stony, these are corals like brains, acans, frogspawn, hammers, elegance, torch, dendros, and more.
SPS stands for Small Polyp Stony, these include acroporas, milliporas, birdsnest, stylophora, digitata, montipora, cyphastrea, porites, and simialr corals.
I'll try to find some good pics.