We present results on rapidity and transverse momentum distributions of
inclusive charm quark production in hadronic and heavy-ion collisions at RHIC
and LHC energies, including the next-to-leading order, O(αs3),
radiative corrections and the nuclear shadowing effect. We determine the
hadronic and the {\it effective} (in-medium) K-factor for the differential and
total inclusive charm cross sections. We show that these K-factors have strong
pT dependence. We discuss how measurements of charm production at RHIC and
LHC can provide valuable information about the gluon density in a nucleus.Comment: LaTex, 4 pages, 2 figs (available on request) Talk presented at
Eleventh International Conference on Ultra-Relativistic Nucleus-Nucleus
Collisions -- Quark Matter '95, Monterey, CA, January 9-13, 1995