  Certain six-dimensional (1,0) supersymmetric little string theories, when
compactified on $T^3$, have moduli spaces of vacua given by smooth K3 surfaces.
Using ideas of Gaiotto-Moore-Neitzke, we show that this provides a systematic
procedure for determining the Ricci-flat metric on a smooth K3 surface in terms
of BPS degeneracies of (compactified) little string theories.
