You'll often discover the existence of a cracked roof tile when you see a damp spot on your ceiling or the paint starts peeling off in just one place.
Hopefully you have some spare tiles (usually under your house) for this emergency. If not and the house is fairly new, you should be able to get some the same from the manufacturer. If it's a discontinued style or the house is old you may have to search secondhand building supply yards.
See ladder safety.
With a replacement tile and a couple of offcuts of 50 x 25mm batten, carefully proceed to the approximate position of the leak, making sure you walk on the
noses of the tiles (their front edge). The cracked tile should be fairly obvious unless it's a hairline crack.
Lift the front of the row above it and hold in place with the blocks. Remove the pieces of tile. If the tile is nailed to the fixing batten, simply lever the piece upwards. The top piece has a lip which must be lifted over the batten to allow removal. If it is wired or the nail won't budge, smash the tile and remove the fastening with a pair of pliers.
Proceed to slip in the replacement using a twisting motion. Make sure it fits neatly, then lower the higher row. This will lock it in place and if all goes well end the problem forever.