  A search for supersymmetric partners of gluons and quarks is presented,
involving signatures with jets and either two isolated leptons (electrons or
muons) with the same electric charge, or at least three isolated leptons. A
data sample of proton-proton collisions at $\sqrt{s}$ = 13 TeV recorded with
the ATLAS detector at the Large Hadron Collider between 2015 and 2018,
corresponding to a total integrated luminosity of 139 fb$^{-1}$, is used for
the search. No significant excess over the Standard Model expectation is
observed. The results are interpreted in simplified supersymmetric models
featuring both R-parity conservation and R-parity violation, raising the
exclusion limits beyond those of previous ATLAS searches to 1600 GeV for gluino
masses and 750 GeV for bottom and top squark masses in these scenarios.
