  Based on lattice simulations with two flavours of dynamical, O(a)-improved
Wilson fermions we present results for the first two moments of the
distribution amplitudes of pseudoscalar mesons at several values of the valence
quark masses. By extrapolating our results to the physical masses of up/down
and strange quarks, we find the first two moments of the K^+ distribution
amplitude and the second moment of the pi^+ distribution amplitude. We use
nonperturbatively determined renormalisation coefficients to obtain results in
the MSbar scheme. At a scale of 4 GeV^2 we find a_2^pi=0.201(114) for the
second Gegenbauer moment of the pion's distribution amplitude, while for the
kaon, a_1^K=0.0453(9)(29) and a_2^K=0.175(18)(47).
