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kc3-lang/libtommath/bn_mp_lcm.c

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  • Author : Tom St Denis
    Date : 2007-04-18 09:58:18
    Hash : 333aebc8
    Message : added libtommath-0.41

  • bn_mp_lcm.c
  • #include <tommath.h>
    #ifdef BN_MP_LCM_C
    /* LibTomMath, multiple-precision integer library -- Tom St Denis
     *
     * LibTomMath is a library that provides multiple-precision
     * integer arithmetic as well as number theoretic functionality.
     *
     * The library was designed directly after the MPI library by
     * Michael Fromberger but has been written from scratch with
     * additional optimizations in place.
     *
     * The library is free for all purposes without any express
     * guarantee it works.
     *
     * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
     */
    
    /* computes least common multiple as |a*b|/(a, b) */
    int mp_lcm (mp_int * a, mp_int * b, mp_int * c)
    {
      int     res;
      mp_int  t1, t2;
    
    
      if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) {
        return res;
      }
    
      /* t1 = get the GCD of the two inputs */
      if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) {
        goto LBL_T;
      }
    
      /* divide the smallest by the GCD */
      if (mp_cmp_mag(a, b) == MP_LT) {
         /* store quotient in t2 such that t2 * b is the LCM */
         if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) {
            goto LBL_T;
         }
         res = mp_mul(b, &t2, c);
      } else {
         /* store quotient in t2 such that t2 * a is the LCM */
         if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) {
            goto LBL_T;
         }
         res = mp_mul(a, &t2, c);
      }
    
      /* fix the sign to positive */
      c->sign = MP_ZPOS;
    
    LBL_T:
      mp_clear_multi (&t1, &t2, NULL);
      return res;
    }
    #endif
    
    /* $Source$ */
    /* $Revision$ */
    /* $Date$ */