  We present the state-of-the-art lattice QCD calculation of the pion and kaon
light-cone distribution amplitudes (DAs) using large-momentum effective theory.
The calculation is done at three lattice spacings $a\approx\{0.06,0.09,0.12\}$
fm and physical pion and kaon masses, with the meson momenta $P_z =
\{1.29,1.72,2.15\}$ GeV. The result is non-perturbatively renormalized in a
recently proposed hybrid scheme with self renormalization, and extrapolated to
the continuum as well as the infinite momentum limit. We find a significant
deviation of the pion and kaon DAs from the asymptotic form, and a large
$SU(3)$ flavor breaking effect in the kaon DA.
