• SELECT

    Id, A, B, C,

    MinVal

    FROM #MinAmt

    CROSS APPLY (

    SELECT MIN(a)

    FROM (VALUES (A),(B),(C) ) v (a)

    WHERE a > 0

    ) x (MinVal)

    ๐Ÿ˜‰

    โ€œWrite the query the simplest way. If through testing it becomes clear that the performance is inadequate, consider alternative query forms.โ€ - Gail Shaw

    For fast, accurate and documented assistance in answering your questions, please read this article.
    Understanding and using APPLY, (I) and (II) Paul White
    Hidden RBAR: Triangular Joins / The "Numbers" or "Tally" Table: What it is and how it replaces a loop Jeff Moden