  This paper presents measurements of production cross sections and inelastic
cross sections for the following reactions: 60 GeV/$c$ protons with C, Be, Al
targets and 120 GeV/$c$ protons with C and Be targets. The analysis was
performed using the NA61/SHINE spectrometer at the CERN SPS. First measurements
were obtained using protons at 120 GeV/$c$, while the results for protons at 60
GeV/$c$ were compared with previously published measurements. These interaction
cross section measurements are critical inputs for neutrino flux prediction in
current and future accelerator-based long-baseline neutrino experiments.
