  This paper presents several measurements of total production cross sections
and total inelastic cross sections for the following reactions: $\pi^{+}$+C,
$\pi^{+}$+Al, $K^{+}$+C, $K^{+}$+Al at 60 GeV/c, $\pi^{+}$+C and $\pi^{+}$+Al
at 31 GeV/c . The measurements were made using the NA61/SHINE spectrometer at
the CERN SPS. Comparisons with previous measurements are given and good
agreement is seen. These interaction cross sections measurements are a key
ingredient for neutrino flux prediction from the reinteractions of secondary
hadrons in current and future accelerator-based long-baseline neutrino
experiments.
