Okay (sigh), you asked for it.

A team of architects and construction contractors planned and built a splendid building, carefully figuring out exactly how many boards, bricks, nails, etc. to use. When they were done, the building looked great and worked perfectly, but there was one brick left over. After checking and accepting there was no place that the extra brick was needed, the head architect just tossed it away.

(At this point the listeners have blank stares, as the joke falls rather flat. So we say, "Well, that one's a little odd, but here's a better story.")

Riding a train, a man puffing away on a big cigar is seated directly across from a woman holding a yappy little dog. They are getting on each other's nerves. The woman says, "Sir, that cigar smoke is very offensive. Please put it out." The man says, "Madam, it's no more offensive than that noisy animal, so stuff it!" Incensed, the woman grabs the cigar out of his mouth and throws it out the window. The man then grabs her pet and throws the dog out the window. Naturally, they're both quite upset the rest of the trip, but when they get off at the next station, here comes the dog running up behind the train. And guess what the dog has in his mouth? (Those who guess say, "The cigar?") No, the brick!