Spain has an interesting system here, a person born into a Spanish-speaking family is given a first name followed by two surnames, the first being the father's family name (or, more precisely, the surname he gained from his father) followed by the mother's family name (or, again more precisely, the surname she gained from her father).

Or in your example:

Gen X: FirstName P1-First-LastName P2-Second-LastName

In Quebec, it can be any combination but there's a limit of two last names to avoid that exact issue.

What is the problem with that? Hard disk space is getting cheaper. :P

You might know Pablo Diego José Francisco de Paula Juan Nepomuceno María de los Remedios Cipriano de la Santísima Trinidad Mártir Patricio Ruiz y Picasso under a shorter name...