We apply a previously described lowest-landau-level formalism to treat
flux-lattice melting in artificially layered superconductors, using M
onte Carlo methods. For a pin-free layered system, the model predicts
a single phase transition with simultaneous ordering both within one l
ayer and between layers. The melting curve calculated using this model
agrees reasonably well with experiments of Koorevaar et al. on NbGe/G
e multilayers.