  With the help of a generalized form of the metric ansatz found for the
single-charge case in a previous work [S.Q. Wu, Phys. Rev. D 83, 121502(R)
(2011)], I adopt a simple algorithm to construct the most general nonextremal
rotating charged black hole solutions in five-dimensional $U(1)^3$ gauged
supergravity. The general solution that is interesting for testing the
AdS$_5$/CFT$_4$ correspondence in M-theory, is characterized by its mass, two
unequal rotation parameters, three different U(1) charges, and a negative
cosmological constant. The metric ansatz is very universal and illuminative, it
is not only especially suitable for constructing solutions with multiple
different electric charges in (un)gauged supergravities, but also for other
dilatonic gravity theory.
